Abstract
We study the heavy-heavy-light (HHL) three-point functions in the planar \( \mathcal{N} \) = 4 super-Yang-Mills theory using the recently proposed hexagon bootstrap program [1]. We prove the conjecture of Bajnok, Janik and Wereszczynski [2] on the polynomial L-dependence of HHL structure constant up to the leading finite-size corrections, where L is the length of the heavy operators. The proof is presented for a specific set-up but the method can be applied to more general situations.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B. Basso, S. Komatsu and P. Vieira, Structure Constants and Integrable Bootstrap in Planar N =4 SYM Theory, arXiv:1505.06745 [INSPIRE].
Z. Bajnok, R.A. Janik and A. Wereszczynski, HHL correlators, orbit averaging and form factors, JHEP 09 (2014) 050 [arXiv:1404.4556] [INSPIRE].
K. Zarembo, Holographic three-point functions of semiclassical states, JHEP 09 (2010) 030 [arXiv:1008.1059] [INSPIRE].
M.S. Costa, R. Monteiro, J.E. Santos and D. Zoakos, On three-point correlation functions in the gauge/gravity duality, JHEP 11 (2010) 141 [arXiv:1008.1070] [INSPIRE].
B. Pozsgay and G. Takács, Form factors in finite volume. II. Disconnected terms and finite temperature correlators, Nucl. Phys. B 788 (2008) 209 [arXiv:0706.3605] [INSPIRE].
L. Hollo, Y. Jiang and A. Petrovskii, Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling, JHEP 09 (2015) 125 [arXiv:1504.07133] [INSPIRE].
Y. Jiang, Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator, arXiv:1601.06926 [INSPIRE].
N. Beisert, B. Eden and M. Staudacher, Transcendentality and Crossing, J. Stat. Mech. (2007) P01021 [hep-th/0610251] [INSPIRE].
N. Beisert, The \( \mathfrak{s}\mathfrak{u}\left(\left.2\right|2\right) \) dynamic S-matrix, Adv. Theor. Math. Phys. 12 (2008) 948 [hep-th/0511082] [INSPIRE].
N. Beisert, The Analytic Bethe Ansatz for a Chain with Centrally Extended \( \mathfrak{s}\mathfrak{u}\left(\left.2\right|2\right) \) Symmetry, J. Stat. Mech. (2007) P01017 [nlin/0610017] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1511.06199
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Jiang, Y., Petrovskii, A. Diagonal form factors and hexagon form factors. J. High Energ. Phys. 2016, 120 (2016). https://doi.org/10.1007/JHEP07(2016)120
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2016)120